<HTML>
<BODY BGCOLOR="white">
<PRE>
<FONT color="green">001</FONT>    /*<a name="line.1"></a>
<FONT color="green">002</FONT>     * Licensed to the Apache Software Foundation (ASF) under one or more<a name="line.2"></a>
<FONT color="green">003</FONT>     * contributor license agreements.  See the NOTICE file distributed with<a name="line.3"></a>
<FONT color="green">004</FONT>     * this work for additional information regarding copyright ownership.<a name="line.4"></a>
<FONT color="green">005</FONT>     * The ASF licenses this file to You under the Apache License, Version 2.0<a name="line.5"></a>
<FONT color="green">006</FONT>     * (the "License"); you may not use this file except in compliance with<a name="line.6"></a>
<FONT color="green">007</FONT>     * the License.  You may obtain a copy of the License at<a name="line.7"></a>
<FONT color="green">008</FONT>     *<a name="line.8"></a>
<FONT color="green">009</FONT>     *      http://www.apache.org/licenses/LICENSE-2.0<a name="line.9"></a>
<FONT color="green">010</FONT>     *<a name="line.10"></a>
<FONT color="green">011</FONT>     * Unless required by applicable law or agreed to in writing, software<a name="line.11"></a>
<FONT color="green">012</FONT>     * distributed under the License is distributed on an "AS IS" BASIS,<a name="line.12"></a>
<FONT color="green">013</FONT>     * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.<a name="line.13"></a>
<FONT color="green">014</FONT>     * See the License for the specific language governing permissions and<a name="line.14"></a>
<FONT color="green">015</FONT>     * limitations under the License.<a name="line.15"></a>
<FONT color="green">016</FONT>     */<a name="line.16"></a>
<FONT color="green">017</FONT>    <a name="line.17"></a>
<FONT color="green">018</FONT>    package org.apache.commons.math3.optimization.direct;<a name="line.18"></a>
<FONT color="green">019</FONT>    <a name="line.19"></a>
<FONT color="green">020</FONT>    import org.apache.commons.math3.analysis.MultivariateFunction;<a name="line.20"></a>
<FONT color="green">021</FONT>    import org.apache.commons.math3.analysis.UnivariateFunction;<a name="line.21"></a>
<FONT color="green">022</FONT>    import org.apache.commons.math3.analysis.function.Logit;<a name="line.22"></a>
<FONT color="green">023</FONT>    import org.apache.commons.math3.analysis.function.Sigmoid;<a name="line.23"></a>
<FONT color="green">024</FONT>    import org.apache.commons.math3.exception.DimensionMismatchException;<a name="line.24"></a>
<FONT color="green">025</FONT>    import org.apache.commons.math3.exception.NumberIsTooSmallException;<a name="line.25"></a>
<FONT color="green">026</FONT>    import org.apache.commons.math3.util.FastMath;<a name="line.26"></a>
<FONT color="green">027</FONT>    import org.apache.commons.math3.util.MathUtils;<a name="line.27"></a>
<FONT color="green">028</FONT>    <a name="line.28"></a>
<FONT color="green">029</FONT>    /**<a name="line.29"></a>
<FONT color="green">030</FONT>     * &lt;p&gt;Adapter for mapping bounded {@link MultivariateFunction} to unbounded ones.&lt;/p&gt;<a name="line.30"></a>
<FONT color="green">031</FONT>     *<a name="line.31"></a>
<FONT color="green">032</FONT>     * &lt;p&gt;<a name="line.32"></a>
<FONT color="green">033</FONT>     * This adapter can be used to wrap functions subject to simple bounds on<a name="line.33"></a>
<FONT color="green">034</FONT>     * parameters so they can be used by optimizers that do &lt;em&gt;not&lt;/em&gt; directly<a name="line.34"></a>
<FONT color="green">035</FONT>     * support simple bounds.<a name="line.35"></a>
<FONT color="green">036</FONT>     * &lt;/p&gt;<a name="line.36"></a>
<FONT color="green">037</FONT>     * &lt;p&gt;<a name="line.37"></a>
<FONT color="green">038</FONT>     * The principle is that the user function that will be wrapped will see its<a name="line.38"></a>
<FONT color="green">039</FONT>     * parameters bounded as required, i.e when its {@code value} method is called<a name="line.39"></a>
<FONT color="green">040</FONT>     * with argument array {@code point}, the elements array will fulfill requirement<a name="line.40"></a>
<FONT color="green">041</FONT>     * {@code lower[i] &lt;= point[i] &lt;= upper[i]} for all i. Some of the components<a name="line.41"></a>
<FONT color="green">042</FONT>     * may be unbounded or bounded only on one side if the corresponding bound is<a name="line.42"></a>
<FONT color="green">043</FONT>     * set to an infinite value. The optimizer will not manage the user function by<a name="line.43"></a>
<FONT color="green">044</FONT>     * itself, but it will handle this adapter and it is this adapter that will take<a name="line.44"></a>
<FONT color="green">045</FONT>     * care the bounds are fulfilled. The adapter {@link #value(double[])} method will<a name="line.45"></a>
<FONT color="green">046</FONT>     * be called by the optimizer with unbound parameters, and the adapter will map<a name="line.46"></a>
<FONT color="green">047</FONT>     * the unbounded value to the bounded range using appropriate functions like<a name="line.47"></a>
<FONT color="green">048</FONT>     * {@link Sigmoid} for double bounded elements for example.<a name="line.48"></a>
<FONT color="green">049</FONT>     * &lt;/p&gt;<a name="line.49"></a>
<FONT color="green">050</FONT>     * &lt;p&gt;<a name="line.50"></a>
<FONT color="green">051</FONT>     * As the optimizer sees only unbounded parameters, it should be noted that the<a name="line.51"></a>
<FONT color="green">052</FONT>     * start point or simplex expected by the optimizer should be unbounded, so the<a name="line.52"></a>
<FONT color="green">053</FONT>     * user is responsible for converting his bounded point to unbounded by calling<a name="line.53"></a>
<FONT color="green">054</FONT>     * {@link #boundedToUnbounded(double[])} before providing them to the optimizer.<a name="line.54"></a>
<FONT color="green">055</FONT>     * For the same reason, the point returned by the {@link<a name="line.55"></a>
<FONT color="green">056</FONT>     * org.apache.commons.math3.optimization.BaseMultivariateOptimizer#optimize(int,<a name="line.56"></a>
<FONT color="green">057</FONT>     * MultivariateFunction, org.apache.commons.math3.optimization.GoalType, double[])}<a name="line.57"></a>
<FONT color="green">058</FONT>     * method is unbounded. So to convert this point to bounded, users must call<a name="line.58"></a>
<FONT color="green">059</FONT>     * {@link #unboundedToBounded(double[])} by themselves!&lt;/p&gt;<a name="line.59"></a>
<FONT color="green">060</FONT>     * &lt;p&gt;<a name="line.60"></a>
<FONT color="green">061</FONT>     * This adapter is only a poor man solution to simple bounds optimization constraints<a name="line.61"></a>
<FONT color="green">062</FONT>     * that can be used with simple optimizers like {@link SimplexOptimizer} with {@link<a name="line.62"></a>
<FONT color="green">063</FONT>     * NelderMeadSimplex} or {@link MultiDirectionalSimplex}. A better solution is to use<a name="line.63"></a>
<FONT color="green">064</FONT>     * an optimizer that directly supports simple bounds like {@link CMAESOptimizer} or<a name="line.64"></a>
<FONT color="green">065</FONT>     * {@link BOBYQAOptimizer}. One caveat of this poor man solution is that behavior near<a name="line.65"></a>
<FONT color="green">066</FONT>     * the bounds may be numerically unstable as bounds are mapped from infinite values.<a name="line.66"></a>
<FONT color="green">067</FONT>     * Another caveat is that convergence values are evaluated by the optimizer with respect<a name="line.67"></a>
<FONT color="green">068</FONT>     * to unbounded variables, so there will be scales differences when converted to bounded<a name="line.68"></a>
<FONT color="green">069</FONT>     * variables.<a name="line.69"></a>
<FONT color="green">070</FONT>     * &lt;/p&gt;<a name="line.70"></a>
<FONT color="green">071</FONT>     *<a name="line.71"></a>
<FONT color="green">072</FONT>     * @see MultivariateFunctionPenaltyAdapter<a name="line.72"></a>
<FONT color="green">073</FONT>     *<a name="line.73"></a>
<FONT color="green">074</FONT>     * @version $Id: MultivariateFunctionMappingAdapter.java 1422230 2012-12-15 12:11:13Z erans $<a name="line.74"></a>
<FONT color="green">075</FONT>     * @deprecated As of 3.1 (to be removed in 4.0).<a name="line.75"></a>
<FONT color="green">076</FONT>     * @since 3.0<a name="line.76"></a>
<FONT color="green">077</FONT>     */<a name="line.77"></a>
<FONT color="green">078</FONT>    <a name="line.78"></a>
<FONT color="green">079</FONT>    @Deprecated<a name="line.79"></a>
<FONT color="green">080</FONT>    public class MultivariateFunctionMappingAdapter implements MultivariateFunction {<a name="line.80"></a>
<FONT color="green">081</FONT>    <a name="line.81"></a>
<FONT color="green">082</FONT>        /** Underlying bounded function. */<a name="line.82"></a>
<FONT color="green">083</FONT>        private final MultivariateFunction bounded;<a name="line.83"></a>
<FONT color="green">084</FONT>    <a name="line.84"></a>
<FONT color="green">085</FONT>        /** Mapping functions. */<a name="line.85"></a>
<FONT color="green">086</FONT>        private final Mapper[] mappers;<a name="line.86"></a>
<FONT color="green">087</FONT>    <a name="line.87"></a>
<FONT color="green">088</FONT>        /** Simple constructor.<a name="line.88"></a>
<FONT color="green">089</FONT>         * @param bounded bounded function<a name="line.89"></a>
<FONT color="green">090</FONT>         * @param lower lower bounds for each element of the input parameters array<a name="line.90"></a>
<FONT color="green">091</FONT>         * (some elements may be set to {@code Double.NEGATIVE_INFINITY} for<a name="line.91"></a>
<FONT color="green">092</FONT>         * unbounded values)<a name="line.92"></a>
<FONT color="green">093</FONT>         * @param upper upper bounds for each element of the input parameters array<a name="line.93"></a>
<FONT color="green">094</FONT>         * (some elements may be set to {@code Double.POSITIVE_INFINITY} for<a name="line.94"></a>
<FONT color="green">095</FONT>         * unbounded values)<a name="line.95"></a>
<FONT color="green">096</FONT>         * @exception DimensionMismatchException if lower and upper bounds are not<a name="line.96"></a>
<FONT color="green">097</FONT>         * consistent, either according to dimension or to values<a name="line.97"></a>
<FONT color="green">098</FONT>         */<a name="line.98"></a>
<FONT color="green">099</FONT>        public MultivariateFunctionMappingAdapter(final MultivariateFunction bounded,<a name="line.99"></a>
<FONT color="green">100</FONT>                                                      final double[] lower, final double[] upper) {<a name="line.100"></a>
<FONT color="green">101</FONT>    <a name="line.101"></a>
<FONT color="green">102</FONT>            // safety checks<a name="line.102"></a>
<FONT color="green">103</FONT>            MathUtils.checkNotNull(lower);<a name="line.103"></a>
<FONT color="green">104</FONT>            MathUtils.checkNotNull(upper);<a name="line.104"></a>
<FONT color="green">105</FONT>            if (lower.length != upper.length) {<a name="line.105"></a>
<FONT color="green">106</FONT>                throw new DimensionMismatchException(lower.length, upper.length);<a name="line.106"></a>
<FONT color="green">107</FONT>            }<a name="line.107"></a>
<FONT color="green">108</FONT>            for (int i = 0; i &lt; lower.length; ++i) {<a name="line.108"></a>
<FONT color="green">109</FONT>                // note the following test is written in such a way it also fails for NaN<a name="line.109"></a>
<FONT color="green">110</FONT>                if (!(upper[i] &gt;= lower[i])) {<a name="line.110"></a>
<FONT color="green">111</FONT>                    throw new NumberIsTooSmallException(upper[i], lower[i], true);<a name="line.111"></a>
<FONT color="green">112</FONT>                }<a name="line.112"></a>
<FONT color="green">113</FONT>            }<a name="line.113"></a>
<FONT color="green">114</FONT>    <a name="line.114"></a>
<FONT color="green">115</FONT>            this.bounded = bounded;<a name="line.115"></a>
<FONT color="green">116</FONT>            this.mappers = new Mapper[lower.length];<a name="line.116"></a>
<FONT color="green">117</FONT>            for (int i = 0; i &lt; mappers.length; ++i) {<a name="line.117"></a>
<FONT color="green">118</FONT>                if (Double.isInfinite(lower[i])) {<a name="line.118"></a>
<FONT color="green">119</FONT>                    if (Double.isInfinite(upper[i])) {<a name="line.119"></a>
<FONT color="green">120</FONT>                        // element is unbounded, no transformation is needed<a name="line.120"></a>
<FONT color="green">121</FONT>                        mappers[i] = new NoBoundsMapper();<a name="line.121"></a>
<FONT color="green">122</FONT>                    } else {<a name="line.122"></a>
<FONT color="green">123</FONT>                        // element is simple-bounded on the upper side<a name="line.123"></a>
<FONT color="green">124</FONT>                        mappers[i] = new UpperBoundMapper(upper[i]);<a name="line.124"></a>
<FONT color="green">125</FONT>                    }<a name="line.125"></a>
<FONT color="green">126</FONT>                } else {<a name="line.126"></a>
<FONT color="green">127</FONT>                    if (Double.isInfinite(upper[i])) {<a name="line.127"></a>
<FONT color="green">128</FONT>                        // element is simple-bounded on the lower side<a name="line.128"></a>
<FONT color="green">129</FONT>                        mappers[i] = new LowerBoundMapper(lower[i]);<a name="line.129"></a>
<FONT color="green">130</FONT>                    } else {<a name="line.130"></a>
<FONT color="green">131</FONT>                        // element is double-bounded<a name="line.131"></a>
<FONT color="green">132</FONT>                        mappers[i] = new LowerUpperBoundMapper(lower[i], upper[i]);<a name="line.132"></a>
<FONT color="green">133</FONT>                    }<a name="line.133"></a>
<FONT color="green">134</FONT>                }<a name="line.134"></a>
<FONT color="green">135</FONT>            }<a name="line.135"></a>
<FONT color="green">136</FONT>    <a name="line.136"></a>
<FONT color="green">137</FONT>        }<a name="line.137"></a>
<FONT color="green">138</FONT>    <a name="line.138"></a>
<FONT color="green">139</FONT>        /** Map an array from unbounded to bounded.<a name="line.139"></a>
<FONT color="green">140</FONT>         * @param point unbounded value<a name="line.140"></a>
<FONT color="green">141</FONT>         * @return bounded value<a name="line.141"></a>
<FONT color="green">142</FONT>         */<a name="line.142"></a>
<FONT color="green">143</FONT>        public double[] unboundedToBounded(double[] point) {<a name="line.143"></a>
<FONT color="green">144</FONT>    <a name="line.144"></a>
<FONT color="green">145</FONT>            // map unbounded input point to bounded point<a name="line.145"></a>
<FONT color="green">146</FONT>            final double[] mapped = new double[mappers.length];<a name="line.146"></a>
<FONT color="green">147</FONT>            for (int i = 0; i &lt; mappers.length; ++i) {<a name="line.147"></a>
<FONT color="green">148</FONT>                mapped[i] = mappers[i].unboundedToBounded(point[i]);<a name="line.148"></a>
<FONT color="green">149</FONT>            }<a name="line.149"></a>
<FONT color="green">150</FONT>    <a name="line.150"></a>
<FONT color="green">151</FONT>            return mapped;<a name="line.151"></a>
<FONT color="green">152</FONT>    <a name="line.152"></a>
<FONT color="green">153</FONT>        }<a name="line.153"></a>
<FONT color="green">154</FONT>    <a name="line.154"></a>
<FONT color="green">155</FONT>        /** Map an array from bounded to unbounded.<a name="line.155"></a>
<FONT color="green">156</FONT>         * @param point bounded value<a name="line.156"></a>
<FONT color="green">157</FONT>         * @return unbounded value<a name="line.157"></a>
<FONT color="green">158</FONT>         */<a name="line.158"></a>
<FONT color="green">159</FONT>        public double[] boundedToUnbounded(double[] point) {<a name="line.159"></a>
<FONT color="green">160</FONT>    <a name="line.160"></a>
<FONT color="green">161</FONT>            // map bounded input point to unbounded point<a name="line.161"></a>
<FONT color="green">162</FONT>            final double[] mapped = new double[mappers.length];<a name="line.162"></a>
<FONT color="green">163</FONT>            for (int i = 0; i &lt; mappers.length; ++i) {<a name="line.163"></a>
<FONT color="green">164</FONT>                mapped[i] = mappers[i].boundedToUnbounded(point[i]);<a name="line.164"></a>
<FONT color="green">165</FONT>            }<a name="line.165"></a>
<FONT color="green">166</FONT>    <a name="line.166"></a>
<FONT color="green">167</FONT>            return mapped;<a name="line.167"></a>
<FONT color="green">168</FONT>    <a name="line.168"></a>
<FONT color="green">169</FONT>        }<a name="line.169"></a>
<FONT color="green">170</FONT>    <a name="line.170"></a>
<FONT color="green">171</FONT>        /** Compute the underlying function value from an unbounded point.<a name="line.171"></a>
<FONT color="green">172</FONT>         * &lt;p&gt;<a name="line.172"></a>
<FONT color="green">173</FONT>         * This method simply bounds the unbounded point using the mappings<a name="line.173"></a>
<FONT color="green">174</FONT>         * set up at construction and calls the underlying function using<a name="line.174"></a>
<FONT color="green">175</FONT>         * the bounded point.<a name="line.175"></a>
<FONT color="green">176</FONT>         * &lt;/p&gt;<a name="line.176"></a>
<FONT color="green">177</FONT>         * @param point unbounded value<a name="line.177"></a>
<FONT color="green">178</FONT>         * @return underlying function value<a name="line.178"></a>
<FONT color="green">179</FONT>         * @see #unboundedToBounded(double[])<a name="line.179"></a>
<FONT color="green">180</FONT>         */<a name="line.180"></a>
<FONT color="green">181</FONT>        public double value(double[] point) {<a name="line.181"></a>
<FONT color="green">182</FONT>            return bounded.value(unboundedToBounded(point));<a name="line.182"></a>
<FONT color="green">183</FONT>        }<a name="line.183"></a>
<FONT color="green">184</FONT>    <a name="line.184"></a>
<FONT color="green">185</FONT>        /** Mapping interface. */<a name="line.185"></a>
<FONT color="green">186</FONT>        private interface Mapper {<a name="line.186"></a>
<FONT color="green">187</FONT>    <a name="line.187"></a>
<FONT color="green">188</FONT>            /** Map a value from unbounded to bounded.<a name="line.188"></a>
<FONT color="green">189</FONT>             * @param y unbounded value<a name="line.189"></a>
<FONT color="green">190</FONT>             * @return bounded value<a name="line.190"></a>
<FONT color="green">191</FONT>             */<a name="line.191"></a>
<FONT color="green">192</FONT>            double unboundedToBounded(double y);<a name="line.192"></a>
<FONT color="green">193</FONT>    <a name="line.193"></a>
<FONT color="green">194</FONT>            /** Map a value from bounded to unbounded.<a name="line.194"></a>
<FONT color="green">195</FONT>             * @param x bounded value<a name="line.195"></a>
<FONT color="green">196</FONT>             * @return unbounded value<a name="line.196"></a>
<FONT color="green">197</FONT>             */<a name="line.197"></a>
<FONT color="green">198</FONT>            double boundedToUnbounded(double x);<a name="line.198"></a>
<FONT color="green">199</FONT>    <a name="line.199"></a>
<FONT color="green">200</FONT>        }<a name="line.200"></a>
<FONT color="green">201</FONT>    <a name="line.201"></a>
<FONT color="green">202</FONT>        /** Local class for no bounds mapping. */<a name="line.202"></a>
<FONT color="green">203</FONT>        private static class NoBoundsMapper implements Mapper {<a name="line.203"></a>
<FONT color="green">204</FONT>    <a name="line.204"></a>
<FONT color="green">205</FONT>            /** Simple constructor.<a name="line.205"></a>
<FONT color="green">206</FONT>             */<a name="line.206"></a>
<FONT color="green">207</FONT>            public NoBoundsMapper() {<a name="line.207"></a>
<FONT color="green">208</FONT>            }<a name="line.208"></a>
<FONT color="green">209</FONT>    <a name="line.209"></a>
<FONT color="green">210</FONT>            /** {@inheritDoc} */<a name="line.210"></a>
<FONT color="green">211</FONT>            public double unboundedToBounded(final double y) {<a name="line.211"></a>
<FONT color="green">212</FONT>                return y;<a name="line.212"></a>
<FONT color="green">213</FONT>            }<a name="line.213"></a>
<FONT color="green">214</FONT>    <a name="line.214"></a>
<FONT color="green">215</FONT>            /** {@inheritDoc} */<a name="line.215"></a>
<FONT color="green">216</FONT>            public double boundedToUnbounded(final double x) {<a name="line.216"></a>
<FONT color="green">217</FONT>                return x;<a name="line.217"></a>
<FONT color="green">218</FONT>            }<a name="line.218"></a>
<FONT color="green">219</FONT>    <a name="line.219"></a>
<FONT color="green">220</FONT>        }<a name="line.220"></a>
<FONT color="green">221</FONT>    <a name="line.221"></a>
<FONT color="green">222</FONT>        /** Local class for lower bounds mapping. */<a name="line.222"></a>
<FONT color="green">223</FONT>        private static class LowerBoundMapper implements Mapper {<a name="line.223"></a>
<FONT color="green">224</FONT>    <a name="line.224"></a>
<FONT color="green">225</FONT>            /** Low bound. */<a name="line.225"></a>
<FONT color="green">226</FONT>            private final double lower;<a name="line.226"></a>
<FONT color="green">227</FONT>    <a name="line.227"></a>
<FONT color="green">228</FONT>            /** Simple constructor.<a name="line.228"></a>
<FONT color="green">229</FONT>             * @param lower lower bound<a name="line.229"></a>
<FONT color="green">230</FONT>             */<a name="line.230"></a>
<FONT color="green">231</FONT>            public LowerBoundMapper(final double lower) {<a name="line.231"></a>
<FONT color="green">232</FONT>                this.lower = lower;<a name="line.232"></a>
<FONT color="green">233</FONT>            }<a name="line.233"></a>
<FONT color="green">234</FONT>    <a name="line.234"></a>
<FONT color="green">235</FONT>            /** {@inheritDoc} */<a name="line.235"></a>
<FONT color="green">236</FONT>            public double unboundedToBounded(final double y) {<a name="line.236"></a>
<FONT color="green">237</FONT>                return lower + FastMath.exp(y);<a name="line.237"></a>
<FONT color="green">238</FONT>            }<a name="line.238"></a>
<FONT color="green">239</FONT>    <a name="line.239"></a>
<FONT color="green">240</FONT>            /** {@inheritDoc} */<a name="line.240"></a>
<FONT color="green">241</FONT>            public double boundedToUnbounded(final double x) {<a name="line.241"></a>
<FONT color="green">242</FONT>                return FastMath.log(x - lower);<a name="line.242"></a>
<FONT color="green">243</FONT>            }<a name="line.243"></a>
<FONT color="green">244</FONT>    <a name="line.244"></a>
<FONT color="green">245</FONT>        }<a name="line.245"></a>
<FONT color="green">246</FONT>    <a name="line.246"></a>
<FONT color="green">247</FONT>        /** Local class for upper bounds mapping. */<a name="line.247"></a>
<FONT color="green">248</FONT>        private static class UpperBoundMapper implements Mapper {<a name="line.248"></a>
<FONT color="green">249</FONT>    <a name="line.249"></a>
<FONT color="green">250</FONT>            /** Upper bound. */<a name="line.250"></a>
<FONT color="green">251</FONT>            private final double upper;<a name="line.251"></a>
<FONT color="green">252</FONT>    <a name="line.252"></a>
<FONT color="green">253</FONT>            /** Simple constructor.<a name="line.253"></a>
<FONT color="green">254</FONT>             * @param upper upper bound<a name="line.254"></a>
<FONT color="green">255</FONT>             */<a name="line.255"></a>
<FONT color="green">256</FONT>            public UpperBoundMapper(final double upper) {<a name="line.256"></a>
<FONT color="green">257</FONT>                this.upper = upper;<a name="line.257"></a>
<FONT color="green">258</FONT>            }<a name="line.258"></a>
<FONT color="green">259</FONT>    <a name="line.259"></a>
<FONT color="green">260</FONT>            /** {@inheritDoc} */<a name="line.260"></a>
<FONT color="green">261</FONT>            public double unboundedToBounded(final double y) {<a name="line.261"></a>
<FONT color="green">262</FONT>                return upper - FastMath.exp(-y);<a name="line.262"></a>
<FONT color="green">263</FONT>            }<a name="line.263"></a>
<FONT color="green">264</FONT>    <a name="line.264"></a>
<FONT color="green">265</FONT>            /** {@inheritDoc} */<a name="line.265"></a>
<FONT color="green">266</FONT>            public double boundedToUnbounded(final double x) {<a name="line.266"></a>
<FONT color="green">267</FONT>                return -FastMath.log(upper - x);<a name="line.267"></a>
<FONT color="green">268</FONT>            }<a name="line.268"></a>
<FONT color="green">269</FONT>    <a name="line.269"></a>
<FONT color="green">270</FONT>        }<a name="line.270"></a>
<FONT color="green">271</FONT>    <a name="line.271"></a>
<FONT color="green">272</FONT>        /** Local class for lower and bounds mapping. */<a name="line.272"></a>
<FONT color="green">273</FONT>        private static class LowerUpperBoundMapper implements Mapper {<a name="line.273"></a>
<FONT color="green">274</FONT>    <a name="line.274"></a>
<FONT color="green">275</FONT>            /** Function from unbounded to bounded. */<a name="line.275"></a>
<FONT color="green">276</FONT>            private final UnivariateFunction boundingFunction;<a name="line.276"></a>
<FONT color="green">277</FONT>    <a name="line.277"></a>
<FONT color="green">278</FONT>            /** Function from bounded to unbounded. */<a name="line.278"></a>
<FONT color="green">279</FONT>            private final UnivariateFunction unboundingFunction;<a name="line.279"></a>
<FONT color="green">280</FONT>    <a name="line.280"></a>
<FONT color="green">281</FONT>            /** Simple constructor.<a name="line.281"></a>
<FONT color="green">282</FONT>             * @param lower lower bound<a name="line.282"></a>
<FONT color="green">283</FONT>             * @param upper upper bound<a name="line.283"></a>
<FONT color="green">284</FONT>             */<a name="line.284"></a>
<FONT color="green">285</FONT>            public LowerUpperBoundMapper(final double lower, final double upper) {<a name="line.285"></a>
<FONT color="green">286</FONT>                boundingFunction   = new Sigmoid(lower, upper);<a name="line.286"></a>
<FONT color="green">287</FONT>                unboundingFunction = new Logit(lower, upper);<a name="line.287"></a>
<FONT color="green">288</FONT>            }<a name="line.288"></a>
<FONT color="green">289</FONT>    <a name="line.289"></a>
<FONT color="green">290</FONT>            /** {@inheritDoc} */<a name="line.290"></a>
<FONT color="green">291</FONT>            public double unboundedToBounded(final double y) {<a name="line.291"></a>
<FONT color="green">292</FONT>                return boundingFunction.value(y);<a name="line.292"></a>
<FONT color="green">293</FONT>            }<a name="line.293"></a>
<FONT color="green">294</FONT>    <a name="line.294"></a>
<FONT color="green">295</FONT>            /** {@inheritDoc} */<a name="line.295"></a>
<FONT color="green">296</FONT>            public double boundedToUnbounded(final double x) {<a name="line.296"></a>
<FONT color="green">297</FONT>                return unboundingFunction.value(x);<a name="line.297"></a>
<FONT color="green">298</FONT>            }<a name="line.298"></a>
<FONT color="green">299</FONT>    <a name="line.299"></a>
<FONT color="green">300</FONT>        }<a name="line.300"></a>
<FONT color="green">301</FONT>    <a name="line.301"></a>
<FONT color="green">302</FONT>    }<a name="line.302"></a>




























































</PRE>
</BODY>
</HTML>
